86611840 has 64 divisors (see below), whose sum is σ = 236648160. Its totient is φ = 29693952.

The previous prime is 86611831. The next prime is 86611849. The reversal of 86611840 is 4811668.

86611840 = T₃₆ + T₃₇ + ... + T₈₀₃.

It is an interprime number because it is at equal distance from previous prime (86611831) and next prime (86611849).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×86611840² = 15003221656371200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86611796 and 86611805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86611849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5187 + ... + 14146.

Almost surely, 2^86611840 is an apocalyptic number.

86611840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86611840 is an abundant number, since it is smaller than the sum of its proper divisors (150036320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86611840 is a wasteful number, since it uses less digits than its factorization.

86611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 86611840 is about 9306.5482322932. The cubic root of 86611840 is about 442.4447929253. Note that the first 3 decimals are identical.

It can be divided in two parts, 8661 and 1840, that added together give a palindrome (10501).

The spelling of 86611840 in words is "eighty-six million, six hundred eleven thousand, eight hundred forty".